Bernoulli’s Theorem and Its Applications Bernoulli’s theorem which is also called Bernoulli’s principle, states that a rise within the speed of moving air or a flowing fluid is accompanied by a decrease in the air or fluid’s pressure or sum of the kinetic (velocity head), pressure (static head) and Potential energy of the fluid at … Read more

The weight of those molecules is also larger close to the surface, as the gravity is bigger. Now, once we move towards higher altitudes, the force of gravity decrease that in turn decrease the density of air and also the weight of the molecules. This implies that the gas pressure is a smaller amount compared … Read more

Acceleration due to gravity and its variation with altitude and depth Acceleration due to gravity simply means acceleration gained by an object due to the gravitational force and it has both magnitude and direction that is why it is a vector quantity. Acceleration due to gravity is symbolized by g. Whereas gravity is a force … Read more

We have studied that magnitude of the velocity of the $i^{th}$ particle in a rigid body rotating about a fixed axis is, $v_{i}=r_{i}d\theta /dt=r_{i}\omega $ The kinetic energy of the $i^{th}$ particle of mass $m_{i}$ is given by, The total kinetic energy of the rigid body is, As angular velocity ω is same for all … Read more

Rigid body: To understand the rotational motion, first, we will go through the concept of angular position, velocity, acceleration, and centripetal acceleration The rigid body is a body with a perfectly defined and unchanging shape and the distance between any two particles within the body remains constant. We will consider rigid bodies having definite shape … Read more

Frictional force arises whenever two surfaces of two bodies come in contact with each other. The frictional force is an example of a contact force. The magnitude of the contact forces on two bodies is equal opposite in direction. Contact forces depend on the nature of the surfaces of the two bodies kept in contact. … Read more

A collision between two particles is defined as the mutual interaction between particles for a short interval of time as a result of which energy and momentum of the particle change. In the collision of two particles, the law of conservation of momentum always holds true but in some collisions, kinetic energy is not always … Read more

The center of mass for many particle system is given by, Differentiating the above equation, we get, But, $d(R_{CM})/dt=V_{CM}$= velocity of center of mass and $d(r_{i})/dt=v_{i}$= velocity of i’th particle of the system Therefore,    ……………….. (1) Also, $m_{i}v_{i}$= momentum of i’th particle of the system. Then, $p$ is the vector sum of linear momentum … Read more

Center of mass is the point where the whole mass of the system can be supposed to be concentrated and the motion of the system can be defined in terms of the center of mass. Position of center of mass for the two-particle system: Consider a system of two point masses $m_{1}$and $m_{2}$,whose position vectors … Read more

Work is done when an object moves a distance by the application of a force. Consider a block placed on a frictionless horizontal floor. This block is acted upon by a constant force $F$ to move through a distance $d$ in a straight line in the direction of force. Work done is equal to the … Read more